Boundary Feedback Stabilization of Kirchhoff-Type Timoshenko System

In this work, the stabilization problem of the nonlinear vibrating Timoshenko systems of Kirchhoff-type with boundary control conditions is considered. By virtue of the multiplier method, the explicit energy decay rates for solutions of the system are established, depending on boundary control feedback. In the view of control, the result of this work implies that, by choosing suited feedback boundary controls, the Kirchhoff-type Timoshenko system can be achieved by various decay rates, not only exponential and polynomial.